The number of ways in which 6 '+' and 4 '-' signs can be arranged in a line such that no two '-'signs come together is

35

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120

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720

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610

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Solution

The correct option is B $35$
6 '+' signs can be arranged among themselves in 1 ways.
Now, 4 '-' signs can be arranged between them in $^{7} C_{4}$ ways
$∴$ Total number of ways $= 1 \times^{7} C_{4} = 35$

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